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Finding the Fourth Proportional to 5,398.11, 7,442.69 and 4,457.70

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Solution

The fourth proportional to 5,398.11, 7,442.69 and 4,457.70 is: 6,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.11 : 7,442.69 = 4,457.70 : x
  2. Step 2: Convert to fraction form
    5,398.11/7,442.69 = 4,457.70/x
  3. Step 3: Cross multiply
    5,398.11x = 7,442.69 × 4,457.70
  4. Step 4: Simplify right side
    5,398.11x = 33,177,256.92
  5. Step 5: Solve for x
    x = 33,177,256.92/5,398.11
  6. Step 6: Final answer
    x = 6,146.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.